I play at this course a great deal and there are three set of tees that are what I consider the back tees. There is an Ocean tee that is basically where we as masters play from that is around 6850 yards. There is a tee behind that playing at around 7350 yards and a slope of 77.3/144. There is an additional set of tees that require permission to play that stretch the course out to over 7900 yards, places that make it so that it would require a great drive to get to the fairway. They use a few of these tee boxes from time to time when they have tournies there, I have a picture of the group I was in that shows that card.
Kiawah is a great course and fun to play. The firm fairways give you lots of roll, no cart parts so the carts that are allowed in the afternoons keep it firm. Fairways are pretty wide and the water doesn't come into play that often, #17 is the only really water hole, a few others have water, canals etc. on them that come into play if you stray but all in all generous fairways.
The green speed is relatively slow in the summer, can't cut that low but in the fall and spring when the weather is nice, the greens can be very fast. This course is a true gem and could host a major championship (it did host the Ryder Cup) but the issue is the course itself, not a great viewing course and I don't think they can ever make it one.